On a side note . . . when the time comes to change that string, you may want to wear safety glasses, and stand back. When you loosen that locking nut, that string is going to snap out of there like a psychotic hypodermic needle.
Yah, I've had that happen once or twice over the years. Sometimes clamping the strings weakens 'em a bit.
Sometimes a tuner button got bumped - doesn't take much movement to overstress such a short length of string.
As mentioned, the locking pads don't need to be cranked down too tight.
When I got my first Floyd, they didn't have fine tuners yet. You just tuned normally, then locked down the nut.
If you tightened the nut pads too much it'd compress the strings and they'd go flat.